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Finding the Fourth Proportional to 204,778.32, 306,956.79 and 78,388.80

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Solution

The fourth proportional to 204,778.32, 306,956.79 and 78,388.80 is: 117,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,778.32 : 306,956.79 = 78,388.80 : x
  2. Step 2: Convert to fraction form
    204,778.32/306,956.79 = 78,388.80/x
  3. Step 3: Cross multiply
    204,778.32x = 306,956.79 × 78,388.80
  4. Step 4: Simplify right side
    204,778.32x = 24,061,974,419.95
  5. Step 5: Solve for x
    x = 24,061,974,419.95/204,778.32
  6. Step 6: Final answer
    x = 117,502.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.